One problem is that you do not specify v->Infinity. A more serious
problem is that Limit will not at present cope well with factorials.
A work-around would be to convert the sequence using FullSimplify.
For example:
In[26]:= a[v_] = v!/v^v;
In[27]:= InputForm[expr = FullSimplify[a[v+1]/a[v]]] Out[27]//InputForm=
(v/(1 + v))^v
In[28]:= Limit[expr, v->Infinity]
1
Out[28]= -
E
Daniel Lichtblau
Wolfram Research
Begin forwarded message:
X-UIDL: bc4cde6063bae17d2c3c4f28b20ccad2 From: Alexander Kricke
<kricke at student.uni-kassel.de> To: mathgroup at smc.vnet.net
Subject: [mg13275] [mg13184] Limit doesn't work properly Organization: Universitat
Kassel
Hello,
Mathematica doesn't find the correct result as a number (1/e) of the
following sequence:
a[v_]:=v!/v^v;
N[Limit[a[v+1]/a[v],v->Identity];
What is the reason for this circumstance ??
Greetings from Germany
Alex